Basic Math Examples

$4 (3 y - 2) + (2 y + 2) = 3 y - 56$

Step 1

Simplify $4 (3 y - 2) + 2 y + 2$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$4 (3 y) + 4 \cdot - 2 + 2 y + 2 = 3 y - 56$

Step 1.1.2

Multiply $3$ by $4$ .

$12 y + 4 \cdot - 2 + 2 y + 2 = 3 y - 56$

Step 1.1.3

Multiply $4$ by $- 2$ .

$12 y - 8 + 2 y + 2 = 3 y - 56$

Step 1.2

Simplify by adding terms.

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Step 1.2.1

Add $12 y$ and $2 y$ .

$14 y - 8 + 2 = 3 y - 56$

Step 1.2.2

Add $- 8$ and $2$ .

$14 y - 6 = 3 y - 56$

Step 2

Move all terms containing $y$ to the left side of the equation.

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Step 2.1

Subtract $3 y$ from both sides of the equation.

$14 y - 6 - 3 y = - 56$

Step 2.2

Subtract $3 y$ from $14 y$ .

$11 y - 6 = - 56$

Step 3

Move all terms not containing $y$ to the right side of the equation.

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Step 3.1

Add $6$ to both sides of the equation.

$11 y = - 56 + 6$

Step 3.2

Add $- 56$ and $6$ .

$11 y = - 50$

Step 4

Divide each term in $11 y = - 50$ by $11$ and simplify.

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Step 4.1

Divide each term in $11 y = - 50$ by $11$ .

$\frac{11 y}{11} = \frac{- 50}{11}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $11$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{11 y}{11} = \frac{- 50}{11}$

Step 4.2.1.2

Divide $y$ by $1$ .

$y = \frac{- 50}{11}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Move the negative in front of the fraction.

$y = - \frac{50}{11}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$y = - \frac{50}{11}$

Decimal Form:

$y = - 4.\overline{54}$

Mixed Number Form:

$y = - 4 \frac{6}{11}$